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Finding the Fourth Proportional to 7,300.08, 10,942 and 2,916.40

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Solution

The fourth proportional to 7,300.08, 10,942 and 2,916.40 is: 4,371.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,300.08 : 10,942 = 2,916.40 : x
  2. Step 2: Convert to fraction form
    7,300.08/10,942 = 2,916.40/x
  3. Step 3: Cross multiply
    7,300.08x = 10,942 × 2,916.40
  4. Step 4: Simplify right side
    7,300.08x = 31,911,248.80
  5. Step 5: Solve for x
    x = 31,911,248.80/7,300.08
  6. Step 6: Final answer
    x = 4,371.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.